I would like to install Ubuntu 12.10 on my new laptop Lenovo IdeaPad Z585 (A6 4400M 2700 Mhz/15.6"/1366x768/6144Mb/500Gb/DVD-RW/Wi-Fi).
Will the laptop work without problems? All necessary drivers will be installed?
I have your setup and it works perfectly. All the necessary drivers are installed. You only might want to check whether you have an nvidia card. If so, you could take a look at the bumblebee project.