If you die before retirement, all your savings will go to your beneficiaries.
Unless you have designated other beneficiaries, the savings will be paid to your next of kin. This is good and sufficient solution for most people.  

Your next of kin, in order of priority, are:

• Your spouse
• Your cohabitant, if you have been living together for two years or more or if you have children together
• Your children or grandchildren – i.e. your issue
• Any heirs named in your will
• Your heirs under the provisions of the Danish Inheritance Act