The noun (Substantiv/Nomen) Same is feminine in German. Therefore, the correct definite article in the nominative singular is die. So, you say: die Same.
(Sami)
Volksgruppe, die in Nordskandinavien und Russland beheimatet ist.
An indigenous people inhabiting northern Scandinavia and Russia.
Die Kultur der Samen ist einzigartig.
The culture of the Sami people is unique.