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Original file line number Diff line number Diff line change
@@ -0,0 +1,37 @@
# [2654.Minimum Number of Operations to Make All Array Elements Equal to 1][title]

## Description
You are given a **0-indexed** array `nums` consisiting of **positive** integers. You can do the following operation on the array **any** number of times:

- Select an index `i` such that `0 <= i < n - 1` and replace either of `nums[i]` or `nums[i+1]` with their gcd value.

Return the **minimum** number of operations to make all elements of `nums` equal to `1`. If it is impossible, return `-1`.

The gcd of two integers is the greatest common divisor of the two integers.

**Example 1:**

```
Input: nums = [2,6,3,4]
Output: 4
Explanation: We can do the following operations:
- Choose index i = 2 and replace nums[2] with gcd(3,4) = 1. Now we have nums = [2,6,1,4].
- Choose index i = 1 and replace nums[1] with gcd(6,1) = 1. Now we have nums = [2,1,1,4].
- Choose index i = 0 and replace nums[0] with gcd(2,1) = 1. Now we have nums = [1,1,1,4].
- Choose index i = 2 and replace nums[3] with gcd(1,4) = 1. Now we have nums = [1,1,1,1].
```

**Example 2:**

```
Input: nums = [2,10,6,14]
Output: -1
Explanation: It can be shown that it is impossible to make all the elements equal to 1.
```

## 结语

如果你同我一样热爱数据结构、算法、LeetCode,可以关注我 GitHub 上的 LeetCode 题解:[awesome-golang-algorithm][me]

[title]: https://leetcode.com/problems/minimum-number-of-operations-to-make-all-array-elements-equal-to-1/
[me]: https://github.com/kylesliu/awesome-golang-algorithm
Original file line number Diff line number Diff line change
@@ -1,5 +1,41 @@
package Solution

func Solution(x bool) bool {
return x
func gcd2654(a, b int) int {
for b != 0 {
a, b = b, a%b
}
return a
}

func Solution(nums []int) int {
l := len(nums)
ones := 0
// 有1就是直接响四周扩散就可以
for _, n := range nums {
if n == 1 {
ones++
}
}
if ones > 0 {
return l - ones
}

// 没有,就需要看否构建出1
minLenArrayWithOne := l + 1
// 2, 2, 3, 4, 5
for i := 0; i < l; i++ {
gcdNum := nums[i]
for j := i + 1; j < l; j++ {
gcdNum = gcd2654(gcdNum, nums[j])
if gcdNum == 1 {
minLenArrayWithOne = min(minLenArrayWithOne, j-i+1)
break
}
}
}
if minLenArrayWithOne == l+1 {
return -1
}
// 构建minLenArrayWithOne里面的1,需要-1次,然后扩散到整个数组
return minLenArrayWithOne - 1 + l - 1
}
Original file line number Diff line number Diff line change
Expand Up @@ -10,12 +10,11 @@ func TestSolution(t *testing.T) {
// 测试用例
cases := []struct {
name string
inputs bool
expect bool
inputs []int
expect int
}{
{"TestCase", true, true},
{"TestCase", true, true},
{"TestCase", false, false},
{"TestCase1", []int{2, 6, 3, 4}, 4},
{"TestCase2", []int{2, 10, 6, 14}, -1},
}

// 开始测试
Expand All @@ -30,10 +29,10 @@ func TestSolution(t *testing.T) {
}
}

// 压力测试
// 压力测试
func BenchmarkSolution(b *testing.B) {
}

// 使用案列
// 使用案列
func ExampleSolution() {
}
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