@jpenny84 thanks and I just fixed this issue. I also searched on the web and found some steps:
1. Uninstalled the lastpass extension, this is must be done or I can't login to lastpass.com.
(I also exported all my password record to a local text file in case any operation in next step cause problem)
2. Revert my password change from account setting.
(After reverting my master password to previous old one, i can login my account in Chrome, Firefox, Maxthon addons.)
3. Change my master password to a new one, not the one i changed before.
(It is very strange that I changed the master password again to the previous one I want to change to. I can login on the Chrome, Firefox, but I can not login to Maxthon addon, the addon icon change to red then turn to gray after few seconds, no error was shown. It just stay in unlogged status. I uninstall / reinstall the brower and problem remains. then I changed the master password to another one and now all got fixed.)
4. Reinstall lastpass extension and login via browser extensions.