the app for iPhone, iPad and iPod are completely different to the application for Mac.
Mobile apps do not work on Mac
Mac applications do not work on mobile devices.
for iPhone you need to buy iOS apps iOS apps
for Mac you need to buy Mac applications Mac OS Applications
You can send Keynote, Pages and Number project files to mobile devices from a Mac, so you can look at the contents of a Keynote presentation on an iPhone created on a Mac.