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## to Sum Of Multiples in the PureScript Track

Published at Mar 19 2020 · 0 comments
Instructions
Test suite
Solution

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

If we list all the natural numbers up to but not including 20 that are multiples of either 3 or 5, we get 3, 5, 6 and 9, 10, 12, 15, and 18.

The sum of these multiples is 78.

## Source

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

## Submitting Incomplete Solutions

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### Main.purs

``````module Test.Main where

import Prelude

import Effect (Effect)
import SumOfMultiples (sumOfMultiples)
import Test.Unit (TestSuite, suite, test)
import Test.Unit.Assert as Assert
import Test.Unit.Main (runTest)

main :: Effect Unit
main = runTest suites

suites :: TestSuite
suites = do
suite "SumOfMultiples.sumOfMultiples" do
test "multiples of 3 or 5 up to 1" do
Assert.equal 0 (sumOfMultiples [3, 5] 1)

test "multiples of 3 or 5 up to 4" do
Assert.equal 3 (sumOfMultiples [3, 5] 4)

test "multiples of 3 up to 7" do
Assert.equal 9 (sumOfMultiples  7)

test "multiples of 3 or 5 up to 10" do
Assert.equal 23 (sumOfMultiples [3, 5] 10)

test "multiples of 3 or 5 up to 100" do
Assert.equal 2318 (sumOfMultiples [3, 5] 100)

test "multiples of 3 or 5 up to 1000" do
Assert.equal 233168 (sumOfMultiples [3, 5] 1000)

test "multiples of 7, 13 or 17 up to 20" do
Assert.equal 51 (sumOfMultiples [7, 13, 17] 20)

test "multiples of 4 or 6 up to 15" do
Assert.equal 30 (sumOfMultiples [4, 6] 15)

test "multiples of 5, 6 or 8 up to 150" do
Assert.equal 4419 (sumOfMultiples [5, 6, 8] 150)

test "multiples of 5 or 25 up to 51" do
Assert.equal 275 (sumOfMultiples [5, 25] 51)

test "multiples of 43 or 47 up to 10000" do
Assert.equal 2203160 (sumOfMultiples [43, 47] 10000)

test "multiples of 1 up to 100" do
Assert.equal 4950 (sumOfMultiples  100)

test "multiples of an empty list up to 10000" do
Assert.equal 0 (sumOfMultiples [] 10000)``````
``````module SumOfMultiples
( sumOfMultiples
) where

import Prelude

import Data.Foldable (sum)
import Data.List.Lazy (iterate, takeWhile)
import Data.Set (Set)
import Data.Set as Set

sumOfMultiples :: Array Int -> Int -> Int
sumOfMultiples multiples limit = map setOfMultiples multiples # Set.unions # sum
where
setOfMultiples :: Int -> Set Int
setOfMultiples start = Set.fromFoldable \$ takeWhile (_ < limit) \$ iterate (_ + start) start``````

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