#include <cstdio>

using namespace std;

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

int main() {
	while(scanf("%d%d", &a, &b) != EOF) {
		int gcd = GCD(a, b);
		printf("%d %d\n", gcd, a / gcd * b);
	}
	return 0;
}
### Prompt

Your task is to create a CPP solution to the following problem:

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 <cstdio>

using namespace std;

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

int main() {
	while(scanf("%d%d", &a, &b) != EOF) {
		int gcd = GCD(a, b);
		printf("%d %d\n", gcd, a / gcd * b);
	}
	return 0;
}
```