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