Package g2101_2200.s2197_replace_non_coprime_numbers_in_array

Class Solution

java.lang.Object
g2101_2200.s2197_replace_non_coprime_numbers_in_array.Solution
public class Solution extends java.lang.Object
2197 - Replace Non-Coprime Numbers in Array.

Hard

You are given an array of integers nums. Perform the following steps:

  1. Find any two adjacent numbers in nums that are non-coprime.
  2. If no such numbers are found, stop the process.
  3. Otherwise, delete the two numbers and replace them with their LCM (Least Common Multiple).
  4. Repeat this process as long as you keep finding two adjacent non-coprime numbers.

Return the final modified array. It can be shown that replacing adjacent non-coprime numbers in any arbitrary order will lead to the same result.

The test cases are generated such that the values in the final array are less than or equal to 108.

Two values x and y are non-coprime if GCD(x, y) > 1 where GCD(x, y) is the Greatest Common Divisor of x and y.

Example 1:

Input: nums = [6,4,3,2,7,6,2]

Output: [12,7,6]

Explanation:

  • (6, 4) are non-coprime with LCM(6, 4) = 12. Now, nums = [12 ,3,2,7,6,2].

  • (12, 3) are non-coprime with LCM(12, 3) = 12. Now, nums = [12 ,2,7,6,2].

  • (12, 2) are non-coprime with LCM(12, 2) = 12. Now, nums = [12 ,7,6,2].

  • (6, 2) are non-coprime with LCM(6, 2) = 6. Now, nums = [12,7, 6 ].

There are no more adjacent non-coprime numbers in nums.

Thus, the final modified array is [12,7,6].

Note that there are other ways to obtain the same resultant array.

Example 2:

Input: nums = [2,2,1,1,3,3,3]

Output: [2,1,1,3]

Explanation:

  • (3, 3) are non-coprime with LCM(3, 3) = 3. Now, nums = [2,2,1,1, 3 ,3].

  • (3, 3) are non-coprime with LCM(3, 3) = 3. Now, nums = [2,2,1,1, 3 ].

  • (2, 2) are non-coprime with LCM(2, 2) = 2. Now, nums = [2 ,1,1,3].

There are no more adjacent non-coprime numbers in nums.

Thus, the final modified array is [2,1,1,3].

Note that there are other ways to obtain the same resultant array.

Constraints:

  • 1 <= nums.length <= 105
  • 1 <= nums[i] <= 105
  • The test cases are generated such that the values in the final array are less than or equal to 108.

  • Constructor Summary

    Constructors
    Constructor
    Description
    Solution()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    java.util.List<java.lang.Integer>
    replaceNonCoprimes(int[] nums)
     

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Solution

      public Solution()

  • Method Details

    • replaceNonCoprimes

      public java.util.List<java.lang.Integer> replaceNonCoprimes(int[] nums)