Cod sursa(job #1997130)

Utilizator MateiAruxandeiMateiStefan MateiAruxandei Data 3 iulie 2017 14:39:29
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.7 kb
#include <stdio.h>
#include <assert.h>

inline 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", "r", stdin);
    freopen("euclid3.out", "w", stdout);

    int T;
    for (scanf("%d", &T); T; T--)
    {
        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;
}