LogMeIn, Inc. has LogMeIn (iTunes Link) for the iPhone, iPod Touch, iPad in the iTunes App Store for FREE for a limited time.

LogMeIn has been upgrade to support HD and has introduce this entry-level app for Free, which does most of what you will need out of a remote desktop app/service. They also offer some premium features that you can update to via an in-app purchase.

LogMeIn allows you to remotely control your PCs and Macs over WiFi/3G with the free LogMeIn app on your iPad or iPhone. It works with LogMeIn’s free award-winning software installed on as many computers as you like. You can remotely access your files, run your applications and control your desktops from anywhere. With everything at your fingertips, you’re finally free to go.