Hey Billrach,
I dont believe LEAP offers an exclusive computer science program and it looks like, judging from the requirements lists, there are only a few programming courses listed as prereqs. The course requirements to apply are listed on the site and each program has its own course requirements for admission to the MEng program. Each list can be found on the leap website.
Also the leap program doesn't award either a BS or an MS in engineering but the LEAP program awards an MEng. You can apply for the MS program after you finish your prereqs if you want. Hope this helps and these answers are coming from a person looking to apply this cycle.