Problem:
GCD and LCM

Write a program which computes the greatest common divisor (GCD) and the least common multiple (LCM) of given a and b.

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.

Constraints

0 < a, b ≤ 2,000,000,000

LCM(a, b) ≤ 2,000,000,000

The number of data sets ≤ 50

Output

For each data set, print GCD and LCM separated by a single space in a line.

Sample Input

8 6
50000000 30000000

Output for the Sample Input

2 24
10000000 150000000

Solution in C (judge verdict: Time Limit Exceeded)

#include <stdio.h>

int main() {
  int a, b, i, j, x, y;
  while(scanf("%d %d", &a, &b) != EOF) {
    if(a > b) j = b;
    else      j = a;
    x = 0;
    for(i = j; i > 0; i--) {
      if(a % i == 0 && b % i == 0) {
	x = i;
	break;
      }
    }

    y = 0;
    for(i = j; i <= 2000000000; i++) {
      if(i % a == 0 && i % b == 0) {
	y = i;
	break;
      }
    }

    printf("%d %d\n", x, y);
  }
  return 0;
}