Cod sursa(job #1424857)

Utilizator UAIC_HreapcaVlasNegrusUAIC Hreapca Vlas Negrus UAIC_HreapcaVlasNegrus Data 25 aprilie 2015 16:32:30
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.78 kb
#include <iostream>
#include <deque>
#include <vector>
#include <cstring>
#include <bitset>
#include <algorithm>
#define INF 1000010
#define uint unsigned int
#define ll long long
#define step(x) (x&(-x))
using namespace std;

int T, A, B, C, a, b;

int gcd(int A, int B, int &X, int &Y)
{
    if(!B)
    {
        X = 1; Y = 0;
        return A;
    }
    int X0, Y0;
    int result = gcd(B, A % B, X0, Y0);
    X = Y0;
    Y = X0 - (A/B) * Y0;
    return result;
}


int main()
{
    freopen("euclid3.in","r",stdin);
    freopen("euclid3.out","w",stdout);
    scanf("%d",&T);
    while(T--)
    {
        scanf("%d%d%d",&A,&B,&C);
        int r = gcd(A, B, a, b);
        if(C % r)
            printf("0 0\n");
        else
            printf("%d %d\n",a * (C / r), b * (C/r));
    }
    return 0;
}