Finally caught Latios. And Rayquaza, too! All the legendaries! I really didn't think my Lv.50-55 team would be able to take on that Lv.70 dragon, but turns out that he can't lay a claw against my Protect Shedinja with anything other than Fly, against which I have plenty of time to defend. Good thing, too, because when he hits, he hits hard. I softened up his attack power a few times with Mightyena's Intimidate, but like the other two, Rayquaza also has Rest and I can't do damage fast enough to make it count. Still, between Fly and Rest it takes fifty or so turns for him to run out of PP, and with a reduced attack power and high HP he can last maybe another twenty turns on Struggle (especially with Altaria Singing him to sleep all the time).
Nearly ran out of Timer Balls in the process, though.