Hackerrank - Restaurant Solution

Martha is interviewing at Subway. One of the rounds of the interview requires her to cut a bread of size  into smaller identical pieces such that each piece is a square having maximum possible side length with no left over piece of bread.

Input Format

The first line contains an integer .  lines follow. Each line contains two space separated integers  and  which denote length and breadth of the bread.

Constraints

Output Format

lines, each containing an integer that denotes the number of squares of maximum size, when the bread is cut as per the given condition.

Sample Input 0

2
2 2
6 9

Sample Output 0

1
6

Explanation 0

The 1^st testcase has a bread whose original dimensions are 2x2, the bread is uncut and is a square. Hence the answer is 1.
The 2^nd testcase has a bread of size 6x9. We can cut it into 54 squares of size 1x1, 6 of size 3x3. For other sizes we will have leftovers. Hence, the number of squares of maximum size that can be cut is 6.

Solution in Python#

import math

def best(x,y):
    prod = x*y
    for i in range(2,int(math.sqrt(prod))+1)[::-1]:
        if not x%i and not y%i:
            return x*y//i**2
    else:
        return prod
for _ in range(int(input())):
    x,y = list(map(int,input().split()))
    print(best(x,y))