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arXiv · 0902.0084

On a problem of Frobenius in three numbers

Abdelwaheb Miled
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Abstract

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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Abdelwaheb Miled. 2009-05-25. On a problem of Frobenius in three numbers. https://arxiv.org/abs/0902.0084

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