Class Solution
-
- All Implemented Interfaces:
public final class Solution
2197 - Replace Non-Coprime Numbers in Array.
Hard
You are given an array of integers
nums
. Perform the following steps:Find any two adjacent numbers in
nums
that are non-coprime.If no such numbers are found, stop the process.
Otherwise, delete the two numbers and replace them with their LCM (Least Common Multiple).
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 <code>10<sup>8</sup></code>.
Two values
x
andy
are non-coprime ifGCD(x, y) > 1
whereGCD(x, y)
is the Greatest Common Divisor ofx
andy
.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:
<code>1 <= nums.length <= 10<sup>5</sup></code>
<code>1 <= numsi<= 10<sup>5</sup></code>
The test cases are generated such that the values in the final array are less than or equal to <code>10<sup>8</sup></code>.
-
-
Constructor Summary
Constructors Constructor Description Solution()
-
Method Summary
Modifier and Type Method Description final List<Integer>
replaceNonCoprimes(IntArray nums)
-
-
Method Detail
-
replaceNonCoprimes
final List<Integer> replaceNonCoprimes(IntArray nums)
-
-
-
-