Cod sursa(job #2498741)

Utilizator TeodorLuchianovTeo Luchianov TeodorLuchianov Data 24 noiembrie 2019 12:33:40
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.82 kb
#include <fstream>
#include <iostream>

using namespace std;

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

typedef long long ll;

ll cmmdc(ll a, ll b, ll &x, ll &y) {
  if(b == 0) {
    x = 1;
    y = 0;
    return a;
  } else {
    ll xPrim, yPrim;
    ll ans = cmmdc(b, a % b, xPrim, yPrim);
    x = yPrim;
    y = xPrim - (a / b) * yPrim;
    return ans;
  }
}

int main() {
  int nTest;
  in >> nTest;
  for(int i=0; i<nTest; i++) {
    ll a, b, c, x, y;
    in >> a >> b >> c;
    ll gcd = cmmdc(a, b, x, y);
    cerr << "x=" << x << " y=" << y << " gcd = " << gcd << " a*x+b*y=" <<a*x+b*y << endl;
    //Ce stim aici: a * x + b * y = gcd
    if(c % gcd == 0){
      out << x * (c / gcd) << ' ' << y * (c / gcd) << '\n';
    }else{
      out << "0 0\n";
    }
  }
  return 0;
}