Need to get all files served by a site, served under various PHP scripts.

Hi guys.

I need to download all files from a website. The problem is that they use several GET request to different PHP scripts to get them.

First, it sends something like this to get to the file's download page: GET /download/315532/0 HTTP/1.1

Then, on the send page, you need to click on download again and you send this: GET /download.php?file=FILE_NAME.ZIP&646965504532567d5954262e5a=1 HTTP/1.1

Lastly, on the third page, you send this via GET: DOMAIN-NAME/download.php?file=FILE_NAME&646965504532567d5954262e5a=1

The question is which software can crawl to the whole site and download all .zip/.rar files?
I've tried several web spiders, none seem to work.