Cod sursa(job #743009)

Utilizator LauraBBuf Laura LauraB Data 2 mai 2012 19:16:55
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.79 kb
#include <fstream>
#include <cassert>
using namespace std;
ifstream fin("euclid3.in");
ofstream fout("euclid3.out");

int gcd(int a, int b, int &x, int &y);

int main()
{
	int a, b, c, x, y, n, d;
	fin >> n;
	assert( n <= 100 );
	for(int i = 1; i <= n; i++)
	{
		fin >> a >> b >> c;
		assert( -1000000000 <= a && a <= 1000000000 );
		assert( -1000000000 <= b && b <= 1000000000 );
		assert( -2000000000 <= c && c <= 2000000000 && c != 0 );
		d = gcd(a, b, x, y);
		if(c % d)
			fout << 0 << " " << 0 << '\n';
		else
			fout << x * (c / d) << " " << y * (c / d) << '\n';
	}
		return 0;
}

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