http://developer.android.com/reference/android/accounts/Acco...
iOS drives me nuts. There was an old joke dialog years ago "Windows has detected that you r mouse moved. You must reboot for this change to take effect." The contemporary version seems to be "iOS has detected you want to do something. You must enter a password (yet again) for this to happen." I can't understand why people are ok with this - your password should be long and hard to type and hence virtually impossible to enter on a mobile device.
You can always tell the iOS apps that were ported to Android because they have their own UI for asking for your account information instead of using the system. They also almost universally believe you only have one of a kind of account - eg only one Google account. Who doesn't have multiple ones these days (school, work, personal etc)?