Cod sursa(job #2182009)

Utilizator CozehNita Horia Teodor Cozeh Data 21 martie 2018 23:45:24
Problema Algoritmul lui Euclid extins Scor 30
Compilator cpp Status done
Runda Arhiva educationala Marime 0.67 kb
#include <fstream>
using namespace std;

ifstream fin("euclid3.in");
ofstream fout("euclid3.out");

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

}

int main(){
    int n,a,b,c;
    int i;
    fin>>n;
    for(i = 1; i <= n ; i++){
        fin>>a>>b>>c;
        int x,y,d;
        d = gcdExt(a,b,x,y);
        if(c%d){
            fout<<"0 0";
        }
        else{
            fout<<x*(c/d)<<" "<<y*(c/d)<<"\n";
        }
    }
}