Euler Project: Problem 5 in Clojure

I solved the fifth problem from Euler project in Clojure.

My first approach was not successful:


Even though it could compute the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder, it didn't work for 1 to 20.
It consumed to much memory.

So I used pen and paper to devise a better approach to solve the problem.

I saw that the numbers from 1 to 10 which multiplied produce 2520 are 9, 8, 7 and 5.
What these numbers have in common is that they all have one prime factor with the highest possible multiplicity in the 1 to 10 range.

This is the code that I derived from those two facts:


which yields the right result.

Update:

As Leo pointed out in his comment, the answer is the least common multiple of the numbers from 1 to 20.

This is the final (more elegant and much simpler than the previous one) solution to the problem:

Euler Project: Problem 4 in Clojure

This is my solution in Clojure to the fourth problem from Euler project:


It was nice to practise with for.

Books I read (January - August 2014)

January
- Pan, educación, libertad (Ψωμί, παιδεία, ελευθερία), Petros Márkaris
- NW London, Zadie Smith
- 101 cuentos clásicos de la China, Chang Shiru, Ramiro A. Calle
- Mr. Neighborly's Humble Little Ruby Book, Jeremy McAnally

February
- Blankets, Craig Thompson

March
- Practical Object-Oriented Design in Ruby, Sandi Metz
- Modern C++ Programming with Test-Driven Development, Jeff Langr

April
- Learning PHP, MySQL & JavaScript, Robin Nixon
- Measuring the world, Daniel Kehlmann

May
- El hombre que plantaba árboles, (L'homme qui plantait des arbres), Jean Giono
- Extreme Programming Explained, Embrace Change, Kent Beck
- Adiós, Chunky Rice, (Good-bye, Chunky Rice), Craig Thompson

June
- Eloquent Ruby, Russ Olsen
- Implementing Domain-Driven Design, Vaughn Vernon

July
- JavaScript Allongé, Reginald Braithwaite
- JavaScript: The Good Parts, Douglas Crockford

August
- Programming Clojure, (2nd edition), Stuart Halloway and Aaron Bedra
- Introduction to Computing, Explorations in Language, Logic and Machines, David Evans
- JavaScript Allongé, Reginald Braithwaite (2nd time)

Interesting Talk: "Test-Driven JavaScript in Practice"

I've just watched this wonderful talk by Christian Johansen:

• Test-Driven JavaScript in Practice

Exercism: "Raindrops in Clojure"

I solved the Raindrops problem in Clojure.

This is my solution:


Where I used the code I wrote for the Prime factors kata in Clojure

You can nitpick my solution here or see all the exercises I've done so far in this repository.