Cod sursa(job #3237850)

Utilizator tsg38Tsg Tsg tsg38 Data 13 iulie 2024 18:22:43
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.72 kb
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

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

int euclid( int a, int b ) {
  if ( b == 0 ) return a;
  return euclid(b, a % b);
}

void euclid_ext( int a, int b, int &x, int &y ) {
  if ( b == 0 ) {
	x = 1, y = 0;
	return;
  }
  int px, py;
  euclid_ext(b, a % b, px, py);
  x = py;
  y = px - (a / b) * py;
}

int main() {
  ios_base::sync_with_stdio(0);
  fin.tie(0);
  int t, a, b, c;

  fin >> t;
  while ( t-- ) {
	fin >> a >> b >> c;
    int d = euclid(a, b), x, y;
	if ( c % d ) {
	  fout << "0 0\n";
	} else {
	  euclid_ext(a, b, x, y);
	  fout << c / d * x << " " << c / d * y << "\n";
	}
  }
  fin.close();
  fout.close();
  return 0;
}