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;

typedef long long ll;

ll gcd(ll a,ll b){
	return b==0 ? a : gcd(b,a%b);
}


int main(){
	ll a,b;
	while(cin >> a >> b){
		ll g = gcd(a,b);
		ll lcm = a*b/g;
		cout << g << " " << lcm << endl;
	}
}