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 (a%b ? gcd(b,a%b) : b);
}

int main(){
    ll a,b;
    while(cin >> a >> b){
	ll c = gcd(a,b);
	cout << c << " " << a/c*b << endl;
    }
    return 0;
}