#include <iostream>
using namespace std;
typedef long long LL;

int gcd(LL a, LL b){
	if(b == 0) return a;
	return gcd(b, a % b);
}

int main() {
	LL a, b;
	while(cin >> a >> b){
		cout << gcd(a, b) << " " << a * b / gcd(a, b) << endl;
	}
	return 0;
}
### Prompt

Develop a solution in cpp to the problem described below:

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

### Response

```cpp
#include <iostream>
using namespace std;
typedef long long LL;

int gcd(LL a, LL b){
	if(b == 0) return a;
	return gcd(b, a % b);
}

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