Submission #369602

#	Time	Username	Problem	Language	Result	Execution time	Memory
369602		penguinhacker	Euklid (COCI20_euklid)	C++14	12 / 110	1 ms	492 KiB

euklid

#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define ar array

ll R(ll a, ll b) {
	if (a < b) swap(a, b);
	if (b == 1) return a;
	return R(b, a / b);
}

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	int t; cin >> t;
	while(t--) {
		ll a, b; cin >> a >> b;
		ll x = b, y = 1;
		int rep = 0;
		while(rep == 0 || (x * y + a - 1) / a * a >= (y + 1) * x) {
			y = (y + 1) * x - 1;
			swap(x, y);
			++rep;
		}
		//cerr << x << " " << y << "\n";
		y = (x * y + a - 1) / a * a;
		//cerr << x << " " << y << "\n";
		x = x * y + a;
		//cerr << x << " " << y << "\n";
		cout << x << " " << y << "\n";
		assert(__gcd(x, y) == a);
		assert(R(x, y) == b);
	}
	return 0;
}

• Subtask 1: 4 / 4
• Subtask 2: 0 / 8
• Subtask 3: 8 / 8
• Subtask 4: 0 / 15
• Subtask 5: 0 / 40
• Subtask 6: 0 / 35