libQtGui.so.4 is needed by package smplayer
libQtNetwork.so.4 is needed by package smplayer
libQtCore.so.4 is needed by package smplayer
It seems clear enough. You don't have these files on your computer, so the program won't install. You need to install the necessary libQt packages first.
Since you didn't tell us the distro you're using (please set it up in your profile so it displays automatically), we can only give general advice. You need to search for and install the libraries for libQt core, gui, and networking in whatever package manager you use. Then you should be able to install and run the program you want.