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Leetcode - Find the Smallest Divisor Given a Threshold

violet posted @ May 02, 2020 07:33:38 AM in 算法 with tags Algorithm BinarySearch Golang , 345 阅读

https://leetcode.com/problems/find-the-smallest-divisor-given-a-threshold/

Given an array of integers nums and an integer threshold, we will choose a positive integer divisor and divide all the array by it and sum the result of the division. Find the smallest divisor such that the result mentioned above is less than or equal to threshold.

Each result of division is rounded to the nearest integer greater than or equal to that element. (For example: 7/3 = 3 and 10/2 = 5).

It is guaranteed that there will be an answer.

 

Example 1:

Input: nums = [1,2,5,9], threshold = 6
Output: 5
Explanation: We can get a sum to 17 (1+2+5+9) if the divisor is 1. 
If the divisor is 4 we can get a sum to 7 (1+1+2+3) and if the divisor is 5 the sum will be 5 (1+1+1+2). 

 

The description is just shit

func smallestDivisor(nums []int, threshold int) int {
    left := 1
    right := 1000000
    result := right
    var mid int
    for left <= right {
        mid = left + (right - left)/2
        sum := getSum(nums, mid)
        if sum <= threshold {
            result = mid
            right = mid - 1
        } else {
            left = mid + 1
        }
    }
    return result
}

func getSum(nums []int, divisor int) int {
    sum := 0
    for _, n := range nums {
        if n % divisor != 0 {
            sum += n/divisor + 1
        } else {
            sum += n/divisor
        }
    }
    return sum
}

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