Problem:
GCD and LCM

Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

Input

Input consists of several data sets. Each data set contains a and b separated by a single space in a line. The input terminates with EOF.

Constraints

0 < a, b ≤ 2,000,000,000

LCM(a, b) ≤ 2,000,000,000

The number of data sets ≤ 50

Output

For each data set, print GCD and LCM separated by a single space in a line.

Sample Input

8 6
50000000 30000000

Output for the Sample Input

2 24
10000000 150000000

Solution in C++ (judge verdict: Time Limit Exceeded)

#include<iostream>

using namespace std;

int main() {
	long long int a, b, c, d, m, i;
	while (cin >> a >> b) {
		for (i = 0;i < b;i++) {
			for (m = 0;m < a;m++) {
				if (a*(i + 1) == b*(m + 1)) {
					c = a*(i + 1);
					i = -1;
					break;
				}
			}
			if (i == -1) { break; }
		}
		if(a > b){
			for (i = a;i > 0;i--) {
				if (a%i == 0 && b%i == 0) { break; }
			}
		}else{
			for (i = b;i > 0;i--) {
				if (b%i == 0 && a%i == 0) { break; }
			}
		}
		d = i;
		cout << d << ' ' << c << endl;
	} 
	return 0;
}