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Pranav changes#1839
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| 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 } |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,28 @@ | ||
| 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() | ||
| }) | ||
| }) |
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