SQL Server 2012 :: Date Range Calculation

I have some location assignment data that I need to convert. I need to know how long each account spent in a certain location for each month of it's overall startdate/enddate period.

E.g.
Account 1 stayed in USA for 31 days in January, and 15 days in February.
Account 1 stayed in UK for 13 days in February and 26 days in March.
Etc.

create table #temp(account int, loc varchar(10), startdate datetime, enddate datetime)
insert into #temp select 1,'USA','2014-01-01','2014-02-15'
insert into #temp select 1,'UK','2014-02-16','2014-03-26'
insert into #temp select 1,'AU','2014-03-27','2014-06-07'
insert into #temp select 2,'UK','2014-08-15','2014-09-01'
insert into #temp select 2,'AU','2014-09-02','2014-10-17'
select * from #temp
drop table #temp