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  <title>gcd_lcm - GCD and LCM</title>
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  <img src="../../../../boost.png" width="276" height="86" alt="C++ Boost">

  <h1 align="center">gcd_lcm - GCD and LCM</h1>

  <h2>Introduction</h2>

  <p>detail/gcd_lcm.hpp provides two generic integer algorithms: greatest
  common divisor and least common multiple.</p>

  <h2>Synopsis</h2>
  <pre class="code">
namespace details {
namespace pool {

template &lt;typename Integer&gt;
Integer gcd(Integer A, Integer B);

template &lt;typename Integer&gt;
Integer lcm(Integer A, Integer B);

} // namespace pool
} // namespace details
</pre>

  <h2>Semantics</h2>

  <table align="center" border summary="">
    <caption>
      <em>Symbol Table</em>
    </caption>

    <tr>
      <th>Symbol</th>

      <th>Meaning</th>
    </tr>

    <tr>
      <td class="code">Integer</td>

      <td>An integral type</td>
    </tr>

    <tr>
      <td class="code">A, B</td>

      <td>Values of type <span class="code">Integer</span></td>
    </tr>
  </table><br>

  <table align="center" border summary="">
    <caption>
      <em>Semantics</em>
    </caption>

    <tr>
      <th>Expression</th>

      <th>Result Type</th>

      <th>Precondition</th>

      <th>Notes</th>
    </tr>

    <tr>
      <td class="code">gcd(A, B)</td>

      <td>Integer</td>

      <td class="code">A &gt; 0 &amp;&amp; B &gt; 0</td>

      <td>Returns the greatest common divisor of <span class="code">A</span>
      and <span class="code">B</span></td>
    </tr>

    <tr>
      <td class="code">lcm(A, B)</td>

      <td>Integer</td>

      <td class="code">A &gt; 0 &amp;&amp; B &gt; 0</td>

      <td>Returns the least common multiple of <span class="code">A</span>
      and <span class="code">B</span></td>
    </tr>
  </table>

  <h2>Implementation Notes</h2>

  <p>For faster results, ensure <span class="code">A &gt; B</span></p>

  <h2>Dependencies</h2>

  <p>None.</p>

  <h2>Future Directions</h2>

  <p>This header may be replaced by a Boost algorithms library.</p>
  <hr>

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  <p>Revised 
  <!--webbot bot="Timestamp" s-type="EDITED" s-format="%d %B, %Y" startspan -->05
  December, 2006<!--webbot bot="Timestamp" endspan i-checksum="38516" --></p>

  <p><i>Copyright &copy; 2000, 2001 Stephen Cleary (scleary AT jerviswebb DOT
  com)</i></p>

  <p><i>Distributed under the Boost Software License, Version 1.0. (See
  accompanying file <a href="../../../../LICENSE_1_0.txt">LICENSE_1_0.txt</a>
  or copy at <a href=
  "http://www.boost.org/LICENSE_1_0.txt">http://www.boost.org/LICENSE_1_0.txt</a>)</i></p>
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