742 B
742 B
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)=(2+2)/2=2 and A(10)=(10+10+30+20+10+30+70+40+90+10)/10=32.
Let S(n)=∑A(k) for 1≤k≤n. S(100)=122726.
Find S(99999999019) mod 999999017.
--hints--
euler448()
should return 106467648.
assert.strictEqual(euler448(), 106467648);
--seed--
--seed-contents--
function euler448() {
return true;
}
euler448();
--solutions--
// solution required