Cod sursa(job #790575)

Utilizator var_jackvar jack var_jack Data 21 septembrie 2012 19:36:29
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp Status done
Runda Arhiva educationala Marime 0.87 kb
#include <fstream>
#include <cassert>

using namespace std;

long extended_cmmdc(long a, long b, long &x, long &y)
{
	if (b == 0)
	{
		x = 1;
		y = 0;
		return a;
	}

	long x0, y0, d;
	d = extended_cmmdc(b, a%b, x0, y0);

	x = y0;
	y = x0 - (a / b) * y0;

	return d;
}

int main()
{
	long a, b, c, d, x, y;
	int i;

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

    fin >> i;
    assert((i>=1) && (i<=100));

	for (; i; i--)
	{
		fin >> a >> b >> c;
		assert((a>=-1000000000) && (a<=1000000000));
		assert((b>=-1000000000) && (b<=1000000000));
		assert((c>=-2000000000) && (c<=2000000000) && (c!=0));

		d = extended_cmmdc(a, b, x, y);

		if (c % d)
			fout << "0 0" << "\n";
		else {
            assert(((x * (c / d))<=2000000000) && ((y * (c / d))<=2000000000));
			fout << x * (c / d) << " " << y * (c / d) << "\n";
		}
	}
}