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Sum Multiples

Problem Description​

Given a positive integer n, find the sum of all integers in the range [1, n] inclusive that are divisible by 3, 5, or 7.

Return an integer denoting the sum of all numbers in the given range satisfying the constraint.

Examples​

Example 1:

Input: n = 7
Output: 21
Explanation: Numbers in the range [1, 7] that are divisible by 3, 5, or 7 are 3, 5, 6, 7. The sum of these numbers is 21.

Example 2:

Input: n = 10
Output: 40
Explanation: Numbers in the range [1, 10] that are divisible by 3, 5, or 7 are 3, 5, 6, 7, 9, 10. The sum of these numbers is 40.

Example 2:

Input: n = 9
Output: 30
Explanation: Numbers in the range [1, 9] that are divisible by 3, 5, or 7 are 3, 5, 6, 7, 9. The sum of these numbers is 30.

Constraints​

  • 1 <= n <= 103

Approach​

Traverse from 1 to n and check if they divide by 3 or 5 or 7 completely then add it to sum and return sum

Python3​

class Solution:
def sumOfMultiples(self, n: int) -> int:
s = 0
for i in range(1, n + 1):
if i % 3 == 0 or i % 5 == 0 or i % 7 == 0:
s += i
return s

Java​

class Solution {
public int sumOfMultiples(int n) {
int s=0;
for(int i=1;i<=n;i++)
{
if(i%3==0 || i%5==0 || i%7==0)
s = s+i;
}
return s;
}
}

C++​

class Solution {
public:
int sumOfMultiples(int n) {
int s = 0;
for (int i = 1; i <= n; ++i) {
if (i % 3 == 0 || i % 5 == 0 || i % 7 == 0) {
s += i;
}
}
return s;
}
};