Cod sursa(job #1879499)

Utilizator dumitru123Patularu Mihai dumitru123 Data 14 februarie 2017 22:44:30
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.68 kb
#include <cstdio>
int gcd( int A, int B, int &X, int &Y )
{
    if (B == 0)
    {
        X = 1;
        Y = 0;
        return A;
    }

    int X0, Y0, D;
    D = gcd( B, A % B, X0, Y0 );

    X = Y0;
    Y = X0 - (A / B) * Y0;
    return D;
}

int main()
{
    freopen("euclid3.in", "rt", stdin);
    freopen("euclid3.out", "wt", stdout);

    int T;
    scanf("%d", &T);
    for (int i=1;i<=T;i++)
    {
        int A, B, C;
        scanf("%d %d %d", &A, &B, &C);
        int D, X, Y;
        D = gcd( A, B, X, Y );
        if (C % D)
            printf("0 0\n");
        else
            printf("%d %d\n", X * (C / D), Y * (C / D));
    }

    return 0;
}