Geeksforgeeks

Error

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.

â€‹**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 ≤ 10^{6}

We are replacing the old Disqus forum with the new Discussions section given below.

Click here to view old Disqus comments.

Click here to view old Disqus comments.

Login to report an issue on this page.

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

YesLoading...

GCD, LCM and Distributive Property

...