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 a,b;
	while (cin>>a>>b){
		long c = a;
	    long d = b;
	while (true) {
		if(c % d == 0) break;
		long e = d;
		d = c % d;
		c = e;
	}cout<<d<<" "<<a*b/d<<endl;
	}
}