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;
	
	while(cin>>a>>b){
		int r = a%b;
		long long lcm = a*b;
		while(r != 0){
			a = b;
			b = (long)r;
			r = a%b;
					
		}
		lcm /= b;
		cout<<b<<" "<<lcm<<endl;
	}
	return 0;
}