How to Solve Divisible and Non-divisible Sums Difference Problem
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Divisible and Non-divisible Sums Difference
You are given positive integers n and m. Define two integers as follows: num1: The sum of all integers in the range [1, n] (both inclusive) that are not divisible by m. num2: The sum of all integers i...
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Understanding the Divisible and Non-divisible Sums Difference Problem
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Problem Statement
You are given positive integers n and m. Define two integers as follows: num1: The sum of all integers in the range [1, n] (both inclusive) that are not divisible by m. num2: The sum of all integers in the range [1, n] (both inclusive) that are divisible by m. Return the integer num1 - num2.
Divisible and Non-divisible Sums Difference
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Examples
n = 10, m = 319In the given example: - Integers in the range [1, 10] that are not divisible by 3 are [1,2,4,5,7,8,10], num1 is the sum of those integers = 37. - Integers in the range [1, 10] that are divisible by 3 are [3,6,9], num2 is the sum of those integers = 18. We return 37 - 18 = 19 as the answer.
n = 5, m = 615In the given example: - Integers in the range [1, 5] that are not divisible by 6 are [1,2,3,4,5], num1 is the sum of those integers = 15. - Integers in the range [1, 5] that are divisible by 6 are [], num2 is the sum of those integers = 0. We return 15 - 0 = 15 as the answer.
n = 5, m = 1-15In the given example: - Integers in the range [1, 5] that are not divisible by 1 are [], num1 is the sum of those integers = 0. - Integers in the range [1, 5] that are divisible by 1 are [1,2,3,4,5], num2 is the sum of those integers = 15. We return 0 - 15 = -15 as the answer.
Constraints
1 <= n, m <= 1000How Interview Coder Helps with Leetcode Problems
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