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(){
	int a,b,x;
	int c,d;
	while(cin>>a>>b){
		c=a;
		d=b;
		if(a<b){
			x=a;
			a=b;
			b=x;
		}
		while(b!=0){
			x=b;
			b=a%b;
			a=x;
		}
		cout<<a<<" "<<c/a*d<<endl;
	}
	
	return 0;
}
