Installation of a C++ software wrote with Qt library

The problem is the following: I've written a software in C++ using Qt library. Now I would create a package to install on another machine. This new machine haven't Qt library. It's necessary install Qt on this machine?? and... How can I install Qt in the fastest way?? Usually the installation of Qt libraries is 2hours long, so I would find a solution with more performarce.
Please help me, thanks!

See Deploying Qt Applications.