chinesermndr.html

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<TITLE>Chinese remainder theorem</TITLE>
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	possibly with links to more information and implementations.">
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<H1>Chinese remainder theorem</H1>
<P>
(algorithm)

<P>
<strong>Definition:</strong>
An integer n can be solved uniquely mod  <a href="lestcmmnmltp.html" tppabs="http://hissa.nist.gov/dads/HTML/lestcmmnmltp.html"><em>LCM(A(i))</em></a>, given modulii (n mod A(i)), A(i) &gt; 0 for i=1..k, k &gt; 0. In other words, given the remainders an integer gets when it's divided by an arbitrary set of divisors, you can uniquely determine the integer's remainder when it is divided by the least common multiple of those divisors.
<P><em>Note:
For example, knowing the remainder of n when it's divided by 3 and the remainder when it's divided by 5 allows you to determine the remainder of n when it's divided by LCM(3,5) = 15. After LK.</em>
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>

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<p>
Entry modified Fri Jul 16 10:09:06 1999.<BR>
HTML page formatted Wed Dec 22 09:34:57 1999.

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