Will smashing my Apple magic mouse repeatedly make it stay connected?

I have two Apple "magic" mice (bluetooth). Two generations. One with the AA batteries, and another newer one that recharges with the iphone cable. Nowadays the only magic is that I haven't smashed them against the desk repeatedly or thrown them out the window. They work for about 30-60 seconds then disconnect, then reconnect if I keep clicking. Have tried all the advice online and nothing works. I can't believe I'm the only one having this issue, and in fact there are plenty of people online complaining about it. For a peripheral that they charge over a hundred dollars for, you'd think it would work better. And I do have an Apple bluetooth keyboard that works fine.