Using Apple Lossless with Google Play Music

I have a lot of music encoded in Apple Lossless (ALAC), but Google Play Music doesn’t seem to support it. Instead Google Play Music supports FLAC , but iTunes doesn’t support it. I don’t care how encoded my music are, but want to encode these without any loss. How do you guys manage your lossless music using iTunes + Google Play Music? I believe it’s not only my problem. **Edit**: Okay, I finally gave up, and encoded my all files encoded in ALAC/FLAC to normal AAC. There seems no way to use both at a time as of now.