Q: How do you change the Icloud Apple ID on a Mac Mini

There is a way, but I am not directly familiar with how; see links:

•iCloud - Apple Support:

http://www.apple.com/support/icloud/

•iCloud: Account Troubleshooting

http://support.apple.com/kb/TS3988?viewlocale=en_US&locale=en_US

But I did find this ASC discussion that may have a suitable path...

•How do I change the iCloud ID to log into a different one?

https://discussions.apple.com/message/21962709#21962709

Good luck & happy computing!

Go to System Preferences>iCloud and sign out and sing in with other ID.

Just what are you trying to accomplish?