Cod sursa(job #2606361)

Utilizator Mihai.MocanuMihai mmm Mihai.Mocanu Data 27 aprilie 2020 16:19:31
Problema Algoritmul lui Euclid extins Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 0.85 kb
#include <iostream>
#include <fstream>
using namespace std;

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

void euclid_extins(int a,int b,int&x,int&y,int&d){
	if(b==0) {
		d=a;
		x=1;
		y=0;
		return;
	}
	int xx,yy,q=a/b;
	euclid_extins(b,a%b,xx,yy,d);
	x=yy;
	y=xx-yy*q;
}

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

int main() {
    int a, b, c, t, i;
    fin >> t;
    for(i=0;i<t;i++) {
        fin >> a >> b >> c;
        int x, y, d = cmmdc( a, b );
        if ( c % d == 0 ) { // exista x si y
            cout << "c: " << c << "\t" << "d: " << d << "\n";
            euclid_extins( a, b, x, y, d );
            x *= c / d;
            y *= c / d;
        }
        else {
            x = y = 0;
        }
        fout << x << " " << y << "\n";
    }
    return 0;
}