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;

using ll = long long;

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

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