WHen I say own, i meant which user owns the files? I'll assume that your user does.
Create a text file called delete.sh with this:
#!/bin/sh
/bin/rm -rf /home/user/file1.html
/bin/rm -rf /home/user/file2.html
/bin/rm -rf /home/user/file3.html
/bin/rm -rf /home/user/file4.html
Upload it to your user directory (in this case, /home/user) and chmod it 755
Then you need to create the cronjob. The easiest way is via shell:
$ crontab -e
enter this:
01 02 * * * /home/user/delete.sh
Save and exit. If you haven't got shell, or aren't comfortable using that, then your control panel should have something to help you.
The above cron line will run the delete.sh file once a day at 2:01am. I would test this out before committing it to real files, but its working fine for me!
Make sure you have backups
Jee