You shouldn't have to reinstall. You can just pin a shortcut to the executable to your taskbar or drop a shortcut to the executable in your start menu.
I just did this over the weekend. I installed steam under the admin account, and pinned a shortcut to it on the taskbar of a standard user account.
During the installation of some programs, it will ask if you want to install for this user or all users. All users automaticall creates entries in every accounts start menu.