在你工程的主模块下面修改build.gradle文件，添加微博sdk的依赖

allprojects {
    repositories {
        jcenter()
        mavenCentral()
        maven { url "https://dl.bintray.com/thelasterstar/maven/" }
    }
}
compile 'com.sina.weibo.sdk:core:1.0.0:openDefaultRelease@aar'

repositories{
    flatDir {
        dirs 'libs'
    }
}

dependencies {
    compile fileTree(dir: 'libs', include: ['*.jar'])
    compile 'com.android.support:appcompat-v7:24.2.1'
    compile(name: 'openDefault-1.0.0', ext: 'aar')

}

public interface Constants {
    /** 当前 DEMO 应用的 APP_KEY，第三方应用应该使用自己的 APP_KEY 替换该 APP_KEY */
    public static final String APP_KEY      = "2045436852";

    /** 
     * 当前 DEMO 应用的回调页，第三方应用可以使用自己的回调页。
     * 建议使用默认回调页：https://api.weibo.com/oauth2/default.html
     */
    public static final String REDIRECT_URL = "http://www.sina.com";

    /**
     * WeiboSDKDemo 应用对应的权限，第三方开发者一般不需要这么多，可直接设置成空即可。
     * 详情请查看 Demo 中对应的注释。
     */
    public static final String SCOPE = 
            "email,direct_messages_read,direct_messages_write,"
            + "friendships_groups_read,friendships_groups_write,statuses_to_me_read,"
            + "follow_app_official_microblog," + "invitation_write";
}

mAuthInfo = new AuthInfo(this, Constants.APP_KEY, Constants.REDIRECT_URL, Constants.SCOPE);

class AuthListener  implements WeiboAuthListener {
    
    @Override
    public void onComplete(Bundle values) {
        // 从 Bundle 中解析 Token
        mAccessToken = Oauth2AccessToken.parseAccessToken(values);
        if (mAccessToken.isSessionValid()) {
            // 保存 Token 到 SharedPreferences
            AccessTokenKeeper.writeAccessToken(WBAuthActivity.this, mAccessToken);
            .........
        } else {
        // 当您注册的应用程序签名不正确时，就会收到 Code，请确保签名正确
            String code = values.getString("code", "");
            .........
        }
    }

    @Override
    public void onCancel() {
    }

    @Override
    public void onWeiboException(WeiboException e) {
    }
}

mSsoHandler = new SsoHandler(WBAuthActivity.this, mAuthInfo);
mSsoHandler.authorizeWeb(new AuthListener());

mSsoHandler = new SsoHandler(WBAuthActivity.this, mAuthInfo);
mSsoHandler. authorizeClientSso(new AuthListener());

mSsoHandler = new SsoHandler(WBAuthActivity.this, mAuthInfo);
mSsoHandler. authorize(new AuthListener());

@Override
protected void onActivityResult(int requestCode, int resultCode, Intent data) {
    super.onActivityResult(requestCode, resultCode, data);
    if (mSsoHandler != null) {
        mSsoHandler.authorizeCallBack(requestCode, resultCode, data);
    }
}