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  <region id="0" top="27" color="#000000" bgColor="#ebebeb">
    <area collapsed="false">
      <title lang="eng">
        <p>     GCD ... LCM      </p>
      </title>
    </area>
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      <math>
        <description active="true" position="Top" lang="eng">
          <p>Adapted from Andrey Ivashov</p>
        </description>
        <input>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="function" args="2">gcd</e>
          <e type="operand">x</e>
          <e type="operand">a</e>
          <e type="function" preserve="true" args="1">abs</e>
          <e type="operator" args="2">:</e>
          <e type="operand">y</e>
          <e type="operand">b</e>
          <e type="function" preserve="true" args="1">abs</e>
          <e type="operator" args="2">:</e>
          <e type="operand">1</e>
          <e type="operand">2</e>
          <e type="function" preserve="true" args="4">mat</e>
          <e type="operand">x</e>
          <e type="operand">0</e>
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          <e type="bracket">(</e>
          <e type="operand">y</e>
          <e type="operand">0</e>
          <e type="operator" args="2">≠</e>
          <e type="bracket">(</e>
          <e type="operator" args="2">&amp;</e>
          <e type="operand">x</e>
          <e type="operand">y</e>
          <e type="operator" args="2">&gt;</e>
          <e type="operand">x</e>
          <e type="operand">x</e>
          <e type="operand">y</e>
          <e type="function" preserve="true" args="2">mod</e>
          <e type="operator" args="2">:</e>
          <e type="operand">y</e>
          <e type="operand">y</e>
          <e type="operand">x</e>
          <e type="function" preserve="true" args="2">mod</e>
          <e type="operator" args="2">:</e>
          <e type="function" preserve="true" args="3">if</e>
          <e type="function" preserve="true" args="2">while</e>
          <e type="operand">x</e>
          <e type="operand">y</e>
          <e type="operator" args="2">+</e>
          <e type="operand">3</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="5">line</e>
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      <math>
        <input>
          <e type="operand">c</e>
          <e type="operand">2967</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="3" left="648" top="81" width="60" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">d</e>
          <e type="operand">158</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="4" left="297" top="90" width="51" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">a</e>
          <e type="operand">21</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="5" left="369" top="90" width="43" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
      <math>
        <input>
          <e type="operand">b</e>
          <e type="operand">6</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
    </region>
    <region id="6" left="297" top="117" width="214" height="47" color="#000000" bgColor="#ebebeb" fontSize="10">
      <math optimize="2">
        <input>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="function" args="2">lcm</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">abs</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="function" args="2">gcd</e>
          <e type="operator" args="2">/</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operator" args="2">:</e>
        </input>
      </math>
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      <math decimalPlaces="15">
        <input>
          <e type="operand">c</e>
          <e type="operand">d</e>
          <e type="function" args="2">lcm</e>
          <e type="operand">c</e>
          <e type="operand">d</e>
          <e type="operator" args="2">*</e>
          <e type="function" preserve="true" args="1">abs</e>
          <e type="operand">c</e>
          <e type="operand">d</e>
          <e type="function" args="2">gcd</e>
          <e type="operator" args="2">/</e>
          <e type="function" preserve="true" args="1">eval</e>
          <e type="operator" args="2">:</e>
        </input>
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      <math>
        <input>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="function" args="2">gcd</e>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="function" args="2">lcm</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
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        <result action="numeric">
          <e type="operand">3</e>
          <e type="operand">42</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
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      <math>
        <input>
          <e type="operand">c</e>
          <e type="operand">d</e>
          <e type="function" args="2">gcd</e>
          <e type="operand">c</e>
          <e type="operand">d</e>
          <e type="function" args="2">lcm</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
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        <result action="numeric">
          <e type="operand">1</e>
          <e type="operand">4.6879</e>
          <e type="operand">10</e>
          <e type="operand">5</e>
          <e type="operator" args="2">^</e>
          <e type="operator" args="2">*</e>
          <e type="operand">2</e>
          <e type="operand">1</e>
          <e type="function" preserve="true" args="4">mat</e>
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      <math decimalPlaces="15">
        <input>
          <e type="operand">a</e>
          <e type="operand">b</e>
          <e type="operand">c</e>
          <e type="operand">d</e>
          <e type="function" preserve="true" args="4">Clear</e>
        </input>
        <result action="numeric">
          <e type="operand">1</e>
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      <area terminator="true" />
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  <region id="12" left="45" top="324" width="244" height="138" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p fontName="Arial">gcd of two numbers</p>
      </description>
      <input>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" args="2">gcd</e>
        <e type="operand">x</e>
        <e type="operand">a</e>
        <e type="function" preserve="true" args="1">abs</e>
        <e type="operator" args="2">:</e>
        <e type="operand">y</e>
        <e type="operand">b</e>
        <e type="function" preserve="true" args="1">abs</e>
        <e type="operator" args="2">:</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operand">x</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≠</e>
        <e type="bracket">(</e>
        <e type="operand">y</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≠</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">&amp;</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">&gt;</e>
        <e type="operand">x</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="2">mod</e>
        <e type="operator" args="2">:</e>
        <e type="operand">y</e>
        <e type="operand">y</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">mod</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">if</e>
        <e type="function" preserve="true" args="2">while</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="operator" args="2">:</e>
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    </math>
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    <math>
      <description active="true" position="Top" lang="eng">
        <p fontName="Arial">gcd of an array.</p>
      </description>
      <input>
        <e type="operand">A</e>
        <e type="function" args="1">gcd</e>
        <e type="operand">g</e>
        <e type="operand">A</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">k</e>
        <e type="operand">2</e>
        <e type="operand">A</e>
        <e type="function" preserve="true" args="1">length</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">g</e>
        <e type="operand">g</e>
        <e type="operand">A</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" args="2">gcd</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">g</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="operator" args="2">:</e>
      </input>
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    <math>
      <description active="true" position="Top" lang="eng">
        <p fontName="Arial">lcm of two numbers</p>
      </description>
      <input>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" args="2">lcm</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="operator" args="2">*</e>
        <e type="operand">a</e>
        <e type="operand">b</e>
        <e type="function" args="2">gcd</e>
        <e type="operator" args="2">/</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="15" left="369" top="513" width="241" height="99" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Top" lang="eng">
        <p fontName="Arial">lcm of an array</p>
      </description>
      <input>
        <e type="operand">A</e>
        <e type="function" args="1">lcm</e>
        <e type="operand">λ</e>
        <e type="operand">A</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">k</e>
        <e type="operand">2</e>
        <e type="operand">A</e>
        <e type="function" preserve="true" args="1">length</e>
        <e type="function" preserve="true" args="2">range</e>
        <e type="operand">λ</e>
        <e type="operand">λ</e>
        <e type="operand">A</e>
        <e type="operand">k</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="function" args="2">lcm</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">λ</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="16" left="90" top="693" width="70" height="99" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">4</e>
        <e type="operand">5.5</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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  <region id="17" left="378" top="702" width="102" height="63" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <input>
        <e type="operand">B</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operand">3</e>
        <e type="operand">4</e>
        <e type="operand">5</e>
        <e type="operand">6</e>
        <e type="operand">7</e>
        <e type="operand">8</e>
        <e type="operand">9.5</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
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  <region id="18" left="504" top="711" width="143" height="49" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <input>
        <e type="operand">B</e>
        <e type="function" args="1">gcd</e>
        <e type="operand">B</e>
        <e type="function" args="1">lcm</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">0.5</e>
        <e type="operand">15960</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="19" left="189" top="720" width="127" height="49" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="function" args="1">gcd</e>
        <e type="operand">A</e>
        <e type="function" args="1">lcm</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </input>
      <result action="numeric">
        <e type="operand">0.5</e>
        <e type="operand">132</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
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