Latina Adolescent Suicide Prevention Act - Amends the Public Health Service Act to direct the Secretary of Health and Human Services to award grants to, or enter into cooperative agreements or contracts with, public and nonprofit private entities for programs to reduce suicide attempts and deaths among Latina adolescents. Requires a preference for applicants that: (1) demonstrate a strong link with schools and are actually supported by and operated within a school facility or associated setting; and (2) involve direct services to Latina adolescents. Limits the program to five years. Requires the Secretary to disseminate information gathered under the program to State and local governmental agencies and private providers of mental health and substance abuse services.