Cod sursa(job #860472)

Utilizator AlexandruValeanuAlexandru Valeanu AlexandruValeanu Data 20 ianuarie 2013 13:04:24
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.62 kb
#include <stdio.h>


signed int euclid(int a, int b, int &x, int &y){

    if (!b){

        x = 1;
        y = 0;
        return a;
    }

    int x0, y0, d;

    d = euclid(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, a, b, c, d, x, y;

    scanf("%d", &T);

    for(; T; T--){

        scanf("%d%d%d", &a, &b, &c);

        d = euclid(a, b, x, y);

        if (c % d)
            printf("0 0\n");
        else
            printf("%d %d\n", x * (c / d), y * (c / d));
    }

    return 0;
}