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Pranav changes #1839

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pranavdate8788 wants to merge 2 commits into TheAlgorithms:master
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36 changes: 36 additions & 0 deletions Maths/LCM.js
View file Open in desktop
Original file line number Diff line number Diff line change
@@ -0,0 +1,36 @@
/**
* @function lcm
* @description Compute the least common multiple (LCM) of two integers.
* @param {number} a - first integer
* @param {number} b - second integer
* @return {number} LCM of a and b
* @example lcm(4,6) -> 12
* @example lcm(7,3) -> 21
*/
const gcd = (x, y) => {
let a = Math.abs(x)
let b = Math.abs(y)
if (Number.isNaN(a) || Number.isNaN(b)) throw new TypeError('Argument is NaN - Not a Number')
while (b !== 0) {
const t = a % b
a = b
b = t
}
return a
}

const lcm = (a, b) => {
const na = Number(a)
const nb = Number(b)

if (Number.isNaN(na) || Number.isNaN(nb) || typeof a === 'object' || typeof b === 'object') {
throw new TypeError('Argument is NaN - Not a Number')
}

if (na === 0 || nb === 0) return 0

// lcm(a,b) = |a * b| / gcd(a,b)
return Math.abs((na / gcd(na, nb)) * nb)
}

export { lcm }
28 changes: 28 additions & 0 deletions Maths/test/LCM.test.js
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Original file line number Diff line number Diff line change
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import { describe, it, expect } from 'vitest'
import { lcm } from '../LCM'

describe('lcm()', () => {
it('returns 0 when either argument is 0', () => {
expect(lcm(0, 5)).toBe(0)
expect(lcm(7, 0)).toBe(0)
})

it('computes LCM for positive integers', () => {
expect(lcm(4, 6)).toBe(12)
expect(lcm(7, 3)).toBe(21)
expect(lcm(21, 6)).toBe(42)
})

it('computes LCM when inputs are negative', () => {
expect(lcm(-4, 6)).toBe(12)
expect(lcm(4, -6)).toBe(12)
expect(lcm(-4, -6)).toBe(12)
})

it('throws for non-numeric inputs', () => {
// @ts-ignore
expect(() => lcm('a', 5)).toThrow()
// @ts-ignore
expect(() => lcm(4, {})).toThrow()
})
})
4 changes: 2 additions & 2 deletions package.json
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Original file line number Diff line number Diff line change
Expand Up @@ -13,11 +13,11 @@
"author": "TheAlgorithms",
"license": "GPL-3.0",
"devDependencies": {
"@vitest/coverage-v8": "^1.2.1",
"globby": "^13.2.2",
"husky": "^8.0.3",
"prettier": "^3.0.3",
"vitest": "^1.2.1",
"@vitest/coverage-v8": "^1.2.1"
"vitest": "^3.2.4"
},
"engines": {
"node": ">=20.6.0"
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