What are some of the best hashing algorithms to use for data integrity and deduplication?
===

I'm trying to hash a large number of files with binary data inside of them in order to:
(1) check for corruption in the future, and
(2) eliminate duplicate files (which might have completely different names and other metadata).

I know about md5 and sha1 and their relatives, but my understanding is that these are designed for security and therefore are deliberately slow in order to reduce the efficacy of brute force attacks. In contrast, I want algorithms that run as fast as possible, while reducing collisions as much as possible.

Any suggestions?