How to pre-load compile command history?

[Roy Smith]

I'm running GNU Emacs 23.1.1.  In my init.el file, I set my default compile 
command:

(global-set-key "\C-cm" 'compile)
(setq compile-command "cd /home/roy/songza/code/radio/api/mobile/test; python 
test_api.py")

That works fine, but now I've got several different commands that I run often.  
Is there some way to pre-load them into the compile history, so I can just do 
c-c m, then up-arrow though the history to pick the one I want?

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Roy Smith
roy@panix.com