3512. Minimum Operations to Make Array Sum Divisible by K

Time: O(n)

Space: O(1)

Approach

Sum all elements; answer = sum mod k.

Key Techniques

Array problems involve manipulating elements stored in a contiguous block of memory. Key techniques include two-pointer traversal, prefix sums, sliding windows, and in-place partitioning. In C#, arrays are zero-indexed and fixed in size — use List<T> when you need dynamic resizing.

Math

Math problems test number theory, combinatorics, and modular arithmetic. Common tools: GCD/LCM (Euclidean algorithm), prime sieve, modular inverse (Fermat's little theorem), digit manipulation, and bit tricks. Overflow is a key concern in C# — use long when products may exceed 2³¹.

3512.cs

// Approach: Sum all elements; answer = sum mod k.
// Time: O(n) Space: O(1)

public class Solution
{
    public int MinOperations(int[] nums, int k)
    {
        // Calculate the sum of all elements in the array using LINQ
        int totalSum = nums.Sum();

        // Return the remainder when the sum is divided by k
        // This represents the minimum value needed to make the sum divisible by k
        return totalSum % k;
    }
}

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