Hello bissmas and all the others here with the same problem.
I made a small search about your problem and it seems that your issue is directly related to your Windows Live ID and only a member from the support team can help you.
But, while you wait for someone from the Staff, I found this possible solutions:
A. Go to http://account.live.com. Under Account Security > Security Info, click Manage. Add your computer to Trusted PC. Make sure that you have Windows Live Essentials installed on your computer.
B. Go to http://devices.live.com and click Add this computer.
C. Try to add a trusted PC using the Windows Live Essentials 2011. Here's how:
1. Browse to this location C:\Program Files\Windows Live\Installer\
2. Open the wlstartup.exe
3. On the sign in page, enable the Make this my trusted PC checkbox then sign in.
Please try disconnecting the trusted computers on your SkyDrive and connect them again using the sign in code afterwards.
You can refer to this thread for instructions on how to do it.
Good Luck and please let us know if the issue still persists afterwards.