[rust] Sum of Multiples

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diff --git a/sum-of-multiples/.exercism/metadata.json b/sum-of-multiples/.exercism/metadata.json
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+{"track":"rust","exercise":"sum-of-multiples","id":"9f1716859ebb4e38b10e5dfbd3858ad3","url":"https://exercism.io/my/solutions/9f1716859ebb4e38b10e5dfbd3858ad3","handle":"dyamon","is_requester":true,"auto_approve":false}
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diff --git a/sum-of-multiples/.gitignore b/sum-of-multiples/.gitignore
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+# Generated by Cargo
+# will have compiled files and executables
+/target/
+**/*.rs.bk
+
+# Remove Cargo.lock from gitignore if creating an executable, leave it for libraries
+# More information here http://doc.crates.io/guide.html#cargotoml-vs-cargolock
+Cargo.lock
diff --git a/sum-of-multiples/Cargo.toml b/sum-of-multiples/Cargo.toml
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+[package]
+edition = "2018"
+name = "sum-of-multiples"
+version = "1.5.0"
diff --git a/sum-of-multiples/README.md b/sum-of-multiples/README.md
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+# Sum Of Multiples
+
+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][help-page] for Rust installation and learning
+resources.
+
+## Writing the Code
+
+Execute the tests with:
+
+```bash
+$ 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 ignored tests without editing the tests source file, use:
+
+```bash
+$ cargo test -- --ignored
+```
+
+To run a specific test, for example `some_test`, you can use:
+
+```bash
+$ cargo test some_test
+```
+
+If the specific test is ignored use:
+
+```bash
+$ cargo test some_test -- --ignored
+```
+
+To learn more about Rust tests refer to the [online test documentation][rust-tests]
+
+Make sure to read the [Modules][modules] chapter if you
+haven't already, it will help you with organizing your files.
+
+## Further improvements
+
+After you have solved the exercise, please consider using the additional utilities, described in the [installation guide](https://exercism.io/tracks/rust/installation), to further refine your final solution.
+
+To format your solution, inside the solution directory use
+
+```bash
+cargo fmt
+```
+
+To see, if your solution contains some common ineffective use cases, inside the solution directory use
+
+```bash
+cargo clippy --all-targets
+```
+
+## Submitting the solution
+
+Generally you should submit all files in which you implemented your solution (`src/lib.rs` in most cases). If you are using any external crates, please consider submitting the `Cargo.toml` file. This will make the review process faster and clearer.
+
+## Feedback, Issues, Pull Requests
+
+The [exercism/rust](https://github.com/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](https://github.com/exercism/docs/blob/master/contributing-to-language-tracks/README.md).
+
+[help-page]: https://exercism.io/tracks/rust/learning
+[modules]: https://doc.rust-lang.org/book/ch07-02-defining-modules-to-control-scope-and-privacy.html
+[cargo]: https://doc.rust-lang.org/book/ch14-00-more-about-cargo.html
+[rust-tests]: https://doc.rust-lang.org/book/ch11-02-running-tests.html
+
+## Source
+
+A variation on Problem 1 at Project Euler [http://projecteuler.net/problem=1](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.
diff --git a/sum-of-multiples/src/lib.rs b/sum-of-multiples/src/lib.rs
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+pub fn sum_of_multiples(limit: u32, factors: &[u32]) -> u32 {
+    (1..limit).filter(|x| factors.iter().filter(|&&x| x != 0).any(|y| x % y == 0)).sum()
+}
diff --git a/sum-of-multiples/tests/sum-of-multiples.rs b/sum-of-multiples/tests/sum-of-multiples.rs
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+++ b/sum-of-multiples/tests/sum-of-multiples.rs
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+use sum_of_multiples::*;
+
+#[test]
+fn no_multiples_within_limit() {
+    assert_eq!(0, sum_of_multiples(1, &[3, 5]))
+}
+
+#[test]
+fn one_factor_has_multiples_within_limit() {
+    assert_eq!(3, sum_of_multiples(4, &[3, 5]))
+}
+
+#[test]
+fn more_than_one_multiple_within_limit() {
+    assert_eq!(9, sum_of_multiples(7, &[3]))
+}
+
+#[test]
+fn more_than_one_factor_with_multiples_within_limit() {
+    assert_eq!(23, sum_of_multiples(10, &[3, 5]))
+}
+
+#[test]
+fn each_multiple_is_only_counted_once() {
+    assert_eq!(2318, sum_of_multiples(100, &[3, 5]))
+}
+
+#[test]
+fn a_much_larger_limit() {
+    assert_eq!(233_168, sum_of_multiples(1000, &[3, 5]))
+}
+
+#[test]
+fn three_factors() {
+    assert_eq!(51, sum_of_multiples(20, &[7, 13, 17]))
+}
+
+#[test]
+fn factors_not_relatively_prime() {
+    assert_eq!(30, sum_of_multiples(15, &[4, 6]))
+}
+
+#[test]
+fn some_pairs_of_factors_relatively_prime_and_some_not() {
+    assert_eq!(4419, sum_of_multiples(150, &[5, 6, 8]))
+}
+
+#[test]
+fn one_factor_is_a_multiple_of_another() {
+    assert_eq!(275, sum_of_multiples(51, &[5, 25]))
+}
+
+#[test]
+fn much_larger_factors() {
+    assert_eq!(2_203_160, sum_of_multiples(10_000, &[43, 47]))
+}
+
+#[test]
+fn all_numbers_are_multiples_of_1() {
+    assert_eq!(4950, sum_of_multiples(100, &[1]))
+}
+
+#[test]
+fn no_factors_means_an_empty_sum() {
+    assert_eq!(0, sum_of_multiples(10_000, &[]))
+}
+
+#[test]
+fn the_only_multiple_of_0_is_0() {
+    assert_eq!(0, sum_of_multiples(1, &[0]))
+}
+
+#[test]
+fn the_factor_0_does_not_affect_the_sum_of_multiples_of_other_factors() {
+    assert_eq!(3, sum_of_multiples(4, &[3, 0]))
+}
+
+#[test]
+fn solutions_using_include_exclude_must_extend_to_cardinality_greater_than_3() {
+    assert_eq!(39_614_537, sum_of_multiples(10_000, &[2, 3, 5, 7, 11]))
+}