Hi Christopher,<div><br></div><div>This is the first time i heard about this interpretation. For me, still makes no sense, but if people thinks is useful, ok.</div><div><br></div><div>Regards,</div><div>Júlio.<br><br><div class="gmail_quote">
2011/7/21 Christopher Henrich <span dir="ltr">&lt;<a href="mailto:chenrich@monmouth.com">chenrich@monmouth.com</a>&gt;</span><br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex;">
<div style="word-wrap:break-word">GCD and LCM can be defined for rationals, if one takes &quot;divisible&quot; to mean &quot;divisible with an integer quotient&quot; and, similarly, &quot;multiple&quot; to mean &quot;multiple by an integer.&quot; Then, for example, GCD(1/2, 1/3) = 1/6 and LCM(1/2, 1/3) = 1.<div>
<div><div></div><div class="h5"><br><div><div>On Jul 21, 2011, at 7:44 AM, Júlio Hoffimann wrote:</div><br><blockquote type="cite">Hi Thomas,<div><br></div><div>Thank you for the intention, but as far as i know, GCD and LCM makes no sense in the rational field. Any rational number is divisible by all rationals. For instance, given two rationals b, r in Q, r != 0, you can write:</div>

<div><br></div><div>b = (b * r^-1) * r</div><div><br></div><div>and then b is divisible by r.</div><div><br></div><div>Regards,</div><div>Júlio.</div><div><br><div class="gmail_quote">2011/7/21 Thomas Taylor <span dir="ltr">&lt;<a href="mailto:thomas.taylor@univie.ac.at" target="_blank">thomas.taylor@univie.ac.at</a>&gt;</span><br>

<blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">Dear boost users and maintainers,<br>
<br>
As I needed these functions myself I have added a gcd and an lcm for the<br>
rational type.<br>
Feel free to do with the code whatever you want, if suitable add it to<br>
rational.hpp. Presumably this could be reworked as partial specialisation of<br>
boost::math::gcd and boost::math::lcm respectively (if there is a trait like<br>
is_rational).<br>
<br>
HTH,<br>
<font color="#888888">Thomas<br>
<br>
<br>
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<div>Christopher Henrich</div><div><a href="mailto:chenrich@monmouth.com" target="_blank">chenrich@monmouth.com</a></div><div><a href="http://mathinteract.com" target="_blank">mathinteract.com</a></div></div><div><br></div>
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