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 <bits/stdc++.h>
using namespace std;
long long GCD(long long a,long long b){
	if(a==0){
		return b;
	}
	return GCD(b%a,a);
}
int main()
{
    long long a,b;
    while(cin>>a>>b){
       	cout<<GCD(a,b)<<" "<<(a*b)/GCD(a,b)<<endl;
    }
    return 0;
}