GCD, LCM and Distributive Property
Basic Accuracy: 38.32% Submissions: 201 Points: 1

Given three integers x, y, z, the task is to compute the value of GCD(LCM(x,y), LCM(x,z)) and return the value.
Where, GCD = Greatest Common Divisor, LCM = Least Common Multiple.

Example 1:

Input: x = 15, y = 20, z = 100
Output: 60
Explanation: GCD(LCM(15,20), LCM(15,100))
=GCD(60,300)=60.

​Example 2:

Input: x = 30, y = 40, z = 400
Output: 120
Explanation: GCD(LCM(30,40), LCM(30,400))
=GCD(120,1200)=120.

Your Task:  
You don't need to read input or print anything. Your task is to complete the function findValue() which takes x, y, z as inputs and returns the answer.

Expected Time Complexity: O(max(log x, log y, log z))
Expected Auxiliary Space: O(1)

Constraints:
1 ≤ x, y, z ≤ 106

We are replacing the old Disqus forum with the new Discussions section given below.
Click here to view old Disqus comments.


to report an issue on this page.

Editorial

We strongly recommend solving this problem on your own before viewing its editorial. Do you still want to view the editorial?

Yes

All Submissions

My Submissions:

Login to access your submissions.

GCD, LCM and Distributive Property

Output Window