linear diophantine equation 证明题

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lineardiophantineequation证明题lineardiophantineequation证明题lineardiophantineequation证明题because{ax+by}=(

linear diophantine equation 证明题
linear diophantine equation 证明题

linear diophantine equation 证明题
because {ax+by}=(a,b)*Z
so
ax+by=c ==> (a,b)|c
(a,b)|c ==>ax+by=c has a solution.