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( void )
{
	long a, b;
	while(cin >> a >> b) {
		long aa, bb, cc;
		aa = a; bb = b;
		while(bb) {
			cc = aa % bb;
			aa = bb;
			bb = cc;
		}
		cout << aa << ' ' << a*(b/aa) << endl;
	}
	return 0;
}