2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/231113For 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).5 pagesDiscrete MathematicsOn a problem of Frobenius in three numberstext