How to Solve Find the Smallest Divisor Given a Threshold Leetcode Problem - Interview Coder Guide
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How to Solve Find the Smallest Divisor Given a Threshold Problem

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Medium#1408
LeetCode Problem

Find the Smallest Divisor Given a Threshold

Given an array of integers nums and an integer threshold, we will choose a positive integer divisor, divide all the array by it, and sum the division's result. Find the smallest divisor such that the ...

ArrayBinary Search

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Problem Breakdown

Understanding the Find the Smallest Divisor Given a Threshold Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

Given an array of integers nums and an integer threshold, we will choose a positive integer divisor, divide all the array by it, and sum the division's result. Find the smallest divisor such that the result mentioned above is less than or equal to threshold. Each result of the division is rounded to the nearest integer greater than or equal to that element. (For example: 7/3 = 3 and 10/2 = 5). The test cases are generated so that there will be an answer.

MediumProblem #1408
LeetCode

Find the Smallest Divisor Given a Threshold

Related Topics
ArrayBinary Search
How Interview Coder Helps

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Examples

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 of 7 (1+1+2+3) and if the divisor is 5 the sum will be 5 (1+1+1+2).

Example 2
INPUT
nums = [44,22,33,11,1], threshold = 5
OUTPUT
44

Constraints

1 <= nums.length <= 5 * 104
1 <= nums[i] <= 106
nums.length <= threshold <= 106

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