diff --git a/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/README.md b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/README.md
index 56a9933b0eac9..477593cc7a52a 100644
--- a/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/README.md	
+++ b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/README.md	
@@ -84,32 +84,60 @@ edit_url: https://github.com/doocs/leetcode/edit/main/solution/3500-3599/3512.Mi
 
 <!-- solution:start -->
 
-### 方法一
+### 方法一：求和取模
+
+题目实际上是求数组元素之和对 $k$ 取模的结果。因此，我们只需要遍历数组，计算出所有元素之和，然后对 $k$ 取模，最后返回这个结果即可。
+
+时间复杂度 $O(n)$，其中 $n$ 是数组 $\textit{nums}$ 的长度。空间复杂度 $O(1)$。
 
 <!-- tabs:start -->
 
 #### Python3
 
 ```python
-
+class Solution:
+    def minOperations(self, nums: List[int], k: int) -> int:
+        return sum(nums) % k
 ```
 
 #### Java
 
 ```java
-
+class Solution {
+    public int minOperations(int[] nums, int k) {
+        return Arrays.stream(nums).sum() % k;
+    }
+}
 ```
 
 #### C++
 
 ```cpp
-
+class Solution {
+public:
+    int minOperations(vector<int>& nums, int k) {
+        return reduce(nums.begin(), nums.end(), 0) % k;
+    }
+};
 ```
 
 #### Go
 
 ```go
+func minOperations(nums []int, k int) (ans int) {
+	for _, x := range nums {
+		ans = (ans + x) % k
+	}
+	return
+}
+```
+
+#### TypeScript
 
+```ts
+function minOperations(nums: number[], k: number): number {
+    return nums.reduce((acc, x) => acc + x, 0) % k;
+}
 ```
 
 <!-- tabs:end -->
diff --git a/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/README_EN.md b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/README_EN.md
index f3e3b39d3cd12..e4adb8d98a3e9 100644
--- a/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/README_EN.md	
+++ b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/README_EN.md	
@@ -82,32 +82,60 @@ edit_url: https://github.com/doocs/leetcode/edit/main/solution/3500-3599/3512.Mi
 
 <!-- solution:start -->
 
-### Solution 1
+### Solution 1: Sum and Modulo
+
+The problem essentially asks for the result of the sum of the array elements modulo $k$. Therefore, we only need to iterate through the array, calculate the sum of all elements, and then take the modulo $k$. Finally, return this result.
+
+The time complexity is $O(n)$, where $n$ is the length of the array $\textit{nums}$. The space complexity is $O(1)$.
 
 <!-- tabs:start -->
 
 #### Python3
 
 ```python
-
+class Solution:
+    def minOperations(self, nums: List[int], k: int) -> int:
+        return sum(nums) % k
 ```
 
 #### Java
 
 ```java
-
+class Solution {
+    public int minOperations(int[] nums, int k) {
+        return Arrays.stream(nums).sum() % k;
+    }
+}
 ```
 
 #### C++
 
 ```cpp
-
+class Solution {
+public:
+    int minOperations(vector<int>& nums, int k) {
+        return reduce(nums.begin(), nums.end(), 0) % k;
+    }
+};
 ```
 
 #### Go
 
 ```go
+func minOperations(nums []int, k int) (ans int) {
+	for _, x := range nums {
+		ans = (ans + x) % k
+	}
+	return
+}
+```
+
+#### TypeScript
 
+```ts
+function minOperations(nums: number[], k: number): number {
+    return nums.reduce((acc, x) => acc + x, 0) % k;
+}
 ```
 
 <!-- tabs:end -->
diff --git a/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.cpp b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.cpp
new file mode 100644
index 0000000000000..8ae8217649a57
--- /dev/null
+++ b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.cpp	
@@ -0,0 +1,6 @@
+class Solution {
+public:
+    int minOperations(vector<int>& nums, int k) {
+        return reduce(nums.begin(), nums.end(), 0) % k;
+    }
+};
\ No newline at end of file
diff --git a/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.go b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.go
new file mode 100644
index 0000000000000..18ccd4fb0afe5
--- /dev/null
+++ b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.go	
@@ -0,0 +1,6 @@
+func minOperations(nums []int, k int) (ans int) {
+	for _, x := range nums {
+		ans = (ans + x) % k
+	}
+	return
+}
\ No newline at end of file
diff --git a/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.java b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.java
new file mode 100644
index 0000000000000..5559072c4a3b0
--- /dev/null
+++ b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.java	
@@ -0,0 +1,5 @@
+class Solution {
+    public int minOperations(int[] nums, int k) {
+        return Arrays.stream(nums).sum() % k;
+    }
+}
\ No newline at end of file
diff --git a/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.py b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.py
new file mode 100644
index 0000000000000..26904a4e47634
--- /dev/null
+++ b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.py	
@@ -0,0 +1,3 @@
+class Solution:
+    def minOperations(self, nums: List[int], k: int) -> int:
+        return sum(nums) % k
diff --git a/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.ts b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.ts
new file mode 100644
index 0000000000000..fd98a8bf077e6
--- /dev/null
+++ b/solution/3500-3599/3512.Minimum Operations to Make Array Sum Divisible by K/Solution.ts	
@@ -0,0 +1,3 @@
+function minOperations(nums: number[], k: number): number {
+    return nums.reduce((acc, x) => acc + x, 0) % k;
+}