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.
Input: a = 25, b = 35 Output: 7 5 Explaination: 25*7 - 35*5 = 0. And x = 7 and y = 5 are the least possible values of x and y to get the equation solved.
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.
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)
1 ≤ a, b ≤ 104
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