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 <iostream>
using namespace std;

int main()
{
	long long a, b, r, m;

	while (cin >> a >> b) {
		r = a % b;
		m = a * b;

		while (r > 0) {
			a = b;
			b = r;
			r = a % b;
		}

		cout << b << " " << m / b << endl;
	}

	return 0;
}
