# PatrickMcSweeny's solution

## to Sum Of Multiples in the Rust Track

Published at Feb 11 2019 · 0 comments
Instructions
Test suite
Solution

Given a number, find the sum of all the unique multiples of particular numbers up to but not including that number.

If we list all the natural numbers below 20 that are multiples of 3 or 5, we get 3, 5, 6, 9, 10, 12, 15, and 18.

The sum of these multiples is 78.

## Rust Installation

Refer to the exercism help page for Rust installation and learning resources.

## Writing the Code

Execute the tests with:

``````\$ cargo test
``````

All but the first test have been ignored. After you get the first test to pass, open the tests source file which is located in the `tests` directory and remove the `#[ignore]` flag from the next test and get the tests to pass again. Each separate test is a function with `#[test]` flag above it. Continue, until you pass every test.

If you wish to run all tests without editing the tests source file, use:

``````\$ cargo test -- --ignored
``````

To run a specific test, for example `some_test`, you can use:

``````\$ cargo test some_test
``````

If the specific test is ignored use:

``````\$ cargo test some_test -- --ignored
``````

## Feedback, Issues, Pull Requests

The exercism/rust repository on GitHub is the home for all of the Rust exercises. If you have feedback about an exercise, or want to help implement new exercises, head over there and create an issue. Members of the rust track team are happy to help!

If you want to know more about Exercism, take a look at the contribution guide.

## Source

A variation on Problem 1 at Project Euler http://projecteuler.net/problem=1

## Submitting Incomplete Solutions

It's possible to submit an incomplete solution so you can see how others have completed the exercise.

### sum-of-multiples.rs

``````use sum_of_multiples::*;

#[test]
fn no_multiples_within_limit() {
assert_eq!(0, sum_of_multiples(1, &[3, 5]))
}

#[test]
#[ignore]
fn one_factor_has_multiples_within_limit() {
assert_eq!(3, sum_of_multiples(4, &[3, 5]))
}

#[test]
#[ignore]
fn more_than_one_multiple_within_limit() {
assert_eq!(9, sum_of_multiples(7, &[3]))
}

#[test]
#[ignore]
fn more_than_one_factor_with_multiples_within_limit() {
assert_eq!(23, sum_of_multiples(10, &[3, 5]))
}

#[test]
#[ignore]
fn each_multiple_is_only_counted_once() {
assert_eq!(2318, sum_of_multiples(100, &[3, 5]))
}

#[test]
#[ignore]
fn a_much_larger_limit() {
assert_eq!(233168, sum_of_multiples(1000, &[3, 5]))
}

#[test]
#[ignore]
fn three_factors() {
assert_eq!(51, sum_of_multiples(20, &[7, 13, 17]))
}

#[test]
#[ignore]
fn factors_not_relatively_prime() {
assert_eq!(30, sum_of_multiples(15, &[4, 6]))
}

#[test]
#[ignore]
fn some_pairs_of_factors_relatively_prime_and_some_not() {
assert_eq!(4419, sum_of_multiples(150, &[5, 6, 8]))
}

#[test]
#[ignore]
fn one_factor_is_a_multiple_of_another() {
assert_eq!(275, sum_of_multiples(51, &[5, 25]))
}

#[test]
#[ignore]
fn much_larger_factors() {
assert_eq!(2203160, sum_of_multiples(10000, &[43, 47]))
}

#[test]
#[ignore]
fn all_numbers_are_multiples_of_1() {
assert_eq!(4950, sum_of_multiples(100, &[1]))
}

#[test]
#[ignore]
fn no_factors_means_an_empty_sum() {
assert_eq!(0, sum_of_multiples(10000, &[]))
}

#[test]
#[ignore]
fn the_only_multiple_of_0_is_0() {
assert_eq!(0, sum_of_multiples(1, &[0]))
}

#[test]
#[ignore]
fn the_factor_0_does_not_affect_the_sum_of_multiples_of_other_factors() {
assert_eq!(3, sum_of_multiples(4, &[3, 0]))
}

#[test]
#[ignore]
fn solutions_using_include_exclude_must_extend_to_cardinality_greater_than_3() {
assert_eq!(39614537, sum_of_multiples(10000, &[2, 3, 5, 7, 11]))
}``````
``````pub fn sum_of_multiples(limit: u32, factors: &[u32]) -> u32 {
(1..limit)
.filter(|i| factors.into_iter().any(|n| *n > 0 && i % n == 0))
.sum()
}``````