Given two values ‘a’ and ‘b’ that represent coefficients in “ax – by = 0”, find the smallest values of x and y that satisfy the equation. It may also be assumed that x > 0, y > 0, a > 0 and b > 0.
Example 1:
Input: a = 25, b = 35
Output: 7 5
Explaination: 257 - 355 = 0. And x = 7
and y = 5 are the least possible values
of x and y to get the equation solved.
Example 2:
Input: a = 3, b = 7
Output: 7 3
Explaination: For this case x = 7 and
y = 3 are the least values of x and y
to satisfy the equation.
Your Task:
You do not need to read input or print anything. Your task is to complete the function findXY() which takes a and b as input parameters and returns the least possible values of x and y to satisfy the equation.
Expected Time Complexity: O(log(max(a, b)))
Expected Auxiliary Space: O(1)
Constraints:
1 ≤ a, b ≤ 10^{4}

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