45 lines
729 B
Markdown
45 lines
729 B
Markdown
---
|
|
id: 5900f4e81000cf542c50fffa
|
|
title: 'Problem 379: Least common multiple count'
|
|
challengeType: 5
|
|
forumTopicId: 302041
|
|
dashedName: problem-379-least-common-multiple-count
|
|
---
|
|
|
|
# --description--
|
|
|
|
Let f(n) be the number of couples (x,y) with x and y positive integers, x ≤ y and the least common multiple of x and y equal to n.
|
|
|
|
Let g be the summatory function of f, i.e.: g(n) = ∑ f(i) for 1 ≤ i ≤ n.
|
|
|
|
You are given that g(106) = 37429395.
|
|
|
|
Find g(1012).
|
|
|
|
# --hints--
|
|
|
|
`euler379()` should return 132314136838185.
|
|
|
|
```js
|
|
assert.strictEqual(euler379(), 132314136838185);
|
|
```
|
|
|
|
# --seed--
|
|
|
|
## --seed-contents--
|
|
|
|
```js
|
|
function euler379() {
|
|
|
|
return true;
|
|
}
|
|
|
|
euler379();
|
|
```
|
|
|
|
# --solutions--
|
|
|
|
```js
|
|
// solution required
|
|
```
|