Files

camperbot 5c868af2b8 chore(i18n,learn): processed translations (#44851 )

2022-01-20 20:30:18 +01:00

id, title, challengeType, forumTopicId, dashedName

id	title	challengeType	forumTopicId	dashedName
5900f52c1000cf542c51003f	Problem 448: Average least common multiple	5	302120	problem-448-average-least-common-multiple

--description--

The function lcm(a, b) denotes the least common multiple of a and b.

Let A(n) be the average of the values of lcm(n, i) for 1 ≤ i ≤ n.

E.g: A(2) = \frac{2 + 2}{2} = 2 and A(10) = \frac{10 + 10 + 30 + 20 + 10 + 30 + 70 + 40 + 90 + 10}{10} = 32.

Let S(n) = \sum A(k) for 1 ≤ k ≤ n.

S(100) = 122\\,726.

Find S(99\\,999\\,999\\,019)\bmod 999\\,999\\,017.

--hints--

averageLCM() should return 106467648.

assert.strictEqual(averageLCM(), 106467648);

function averageLCM() {

  return true;
}

averageLCM();

// solution required