Chinese Remainder Theorem
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The congruence
relation
s $n\equiv~a_1\pmod{m_1},\ldots,n\equiv~a_k\pmod{m_k}$ always have a unique solution for $n\pmod{m_1\cdots~m_k}$ provided no two of the moduli have a common
factor
.
http://en.wikipedia.org/wiki/Chinese_remainder_theorem
http://mathworld.wolfram.com/ChineseRemainderTheorem.html
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