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

Constraints

* 0 < a, b ≤ 2,000,000,000
* LCM(a, b) ≤ 2,000,000,000
* The number of data sets ≤ 50

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.

Output

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

Example

Input

8 6
50000000 30000000


Output

2 24
10000000 150000000
#include <bits/stdc++.h>
using namespace std;
int a, b;
int main() {
	while(cin >> a >> b) {
		int g = min(a, b);
		while(true) {
			if(a % g == 0 && b % g == 0) break;
			g--;
		}
		cout << g << ' ' << a / g * b << endl;
	}
}