EU citizens:
EU nationals* have the right to live and work in this country. When they are working, they are entitled to claim any UK benefits that workers can claim: child benefit, child tax credit, working tax credit, housing benefit, council tax benefit.
EU nationals can claim Disability Living Allowance not by virtue of their EU status but because they are citizens of countries where the UK has reciprocal agreements covering disability payments - this includes all EU countries and also some non EU countries.
If they are not working and have paid enough NI contributions for long enough they will be entitled to various benefits: JSA (contributions based), State Pension, Pension Credit.
But if they are not working they do not necessarily have "the right to reside" in this country. They can live here, they will not be deported, but they are not entitled to the range of benefits that non-working UK nationals** are, such as Income Support and Employment Support Allowance.
However if they are not working but are looking for work, they are treated as a "worker" and they can claim Job Seekers Allowance

(income based), Housing Benefit and Council Tax Benefit. That doesnt mean that anyone can get a ticket here and straightaway claim JSA, you have to have been working here before. But if you lose your job, you can then claim JSA.
* actually the rules are more complicated and benefits are initially restricted for A8 nationals (Czech Republic, Estonia, Hungary, Latvia, Lithuania, Poland, Slovakia and Slovenia) and A2 nationals (Bulgaria and Romania). But after they have worked in this country for a continuous period of 12 months the rules applicable to other EU nationals apply
** or anyone who is a non UK national who has an immigration status that enables them to freely claim benefits eg most people with Indefinite Leave To Remain
Let me remind you that from next January 2014. 29 million of the poorest new EU citizens will have the rights to work and reside in the uk.
And they are packing there bags ready for the of .
This will especially affect the poorest in the UK, especially on jobs and services
The conservative and labour party, needs to be answering to the voters about there support of these policies, that they are both supporting .