On a problem of Frobenius in three numbers

نویسنده

  • Abdelwaheb Miled
چکیده

For three positive integers ai, aj , ak pairwise coprime, we present an algorithm that find the least multiple of ai that is a positive linear combination of aj , ak. The average running time of this algorithm is O(1). Using this algorithm and the chinese remainder theorem leads to a direct computation of the Frobenius number f(a1, a2, a3).

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عنوان ژورنال:
  • CoRR

دوره abs/0902.0084  شماره 

صفحات  -

تاریخ انتشار 2009