Cod sursa(job #427593)

Utilizator hendrikHendrik Lai hendrik Data 28 martie 2010 02:04:25
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.7 kb
#include <iostream>
#include <cstring>
#include <cstdio>
#include <algorithm>
using namespace std;

void open(){
    freopen("euclid3.in","r",stdin);
    freopen("euclid3.out","w",stdout);
}
int t,a,b,c,fpb,x,y;

int gcd(int a,int b,int &x,int &y){
    if (b==0){
        x=1;y=0;
        return a;
    }
    int x0,y0;
    int tmp=gcd(b,a%b,x0,y0);
    x=y0;
    y=x0-(a/b)*y0;
    return tmp;
}

int main(){
    open();
    scanf("%d",&t);
    while (t--){
        scanf("%d%d%d",&a,&b,&c);
        fpb=gcd(a,b,x,y);
        if (c%fpb){
            printf("0 0\n");
        }
        else {
            printf("%d %d\n",x*(c/fpb),y*(c/fpb));
        }
    }
    return 0;
}